Answer:
A. (0, 4)Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the equation:
[tex]x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2[/tex]
h = 0, k = 4, r = 5
(14 + 6) + 11 Which of the following is equal to the expression listed above? A. (14 + 6) + (6 + 11) B. (14 + 6) × 11 C. 11 × 14 + 11 × 6 D. 14 + (6 + 11)
Answer:
The answer is D.
Step-by-step explanation:
(14 + 6) + 11 is equal to 14 + (6 + 11). The associative property of addition was used, which is when the equation is the same no matter how it is grouped.
(14 + 6) = 20, and 20 + 11 = 31.
(6 + 11) = 17, and 14 + 17 = 31.
They were grouped differently, but they had the same sum.
I hope this helped! :-)
8................................
Answer is :
[tex]3{a}^{4} {b}^{3} [/tex]
Cos(-x)=-cosx for all values of x. True or false
The statement cos(-x) = -cosx is false becasue cos(-x) = cosx for all x the statement is false.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Cos(-x)=-cosx
As we know, cos is the ratio of the side adjacent to the hypotenuse
x ∈ (-∞, ∞)
Take x = -30
cos(-30) = √3/2
cos30 = √3/2
cos(-x) = cosx for all x
Thus, the statement cos(-x) = -cosx is false becasue cos(-x) = cosx for all x the statement is false.
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I don’t understand number 12! Will someone help please? Thank you guys so much
What is the total value 2 dimes,3 nickles and 2 pennies
Answer:
37 cents
Step-by-step explanation:
2 dimes= 20
3 nickels=15
2 pennies= 2
20+15+2=37
Answer:
37 cent
Step-by-step explanation:
nickles are 5 so three would be 15, dimes is 10 each so that would be 20, and pennies are 1 so two pennies =2 so the answer is 37 cent
17 points this is worth all of my points please help
Answer:
The answer is the first one, the one that has 1 dot on #13 and has 3 dots on #3. Hope this helps. :)
The graph of the equation y = -1/4x + 1 is shown below.
Which statement best represents the value of y as shown in the graph?
A 1 less than the quotient of the value of x and 4
B 1 more than the opposite of the product of the value of x and 4
C 1 more than the opposite of the quotient of the value of x and 4
D 1 less than the product of the value of x and 4
The answer you should go with is A
Describe the relationship between <H and <L.
the relationship between angle H and angle L is that they are corresponding angles.
A teacher calculates the class average on an exam for each of his four classes and finds that the means are equal. Which statement below would lead to believe that this teacher was most pleased with the exam scores in his period 1 class?
A. The scores for period 1 had the lowest median.
B. The scores for period 1 had the highest median.
C. The scores for period 1 had the lowest standard deviation.
D. The scores for period 1 had the lowest IQR.
The teacher being most pleased with the period 1 class suggests they had the highest median score, indicating a better overall performance by the majority in this class.
Explanation:The statement that would make the teacher most pleased with the exam scores in his period 1 class would be B. The scores for period 1 had the highest median.
This is because the median represents the middle score in a set of scores. If period 1 had the highest median, it means that at least half of the students in this class scored higher than those in his other classes.
In essence, it shows better overall performance by the majority of the class in period 1, which would make a teacher pleased with the results.
This conclusion may not necessarily hold if we choose other options; for example, low Standard Deviation or Interquartile Range (IQR) mainly speak to the consistency of scores, and lowest median would imply most of the class did not perform very well. Hence, the highest median would generally reflect the most favor on the class performance.
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The statement that would lead us to believe that the teacher was most pleased with the exam scores in his period 1 class is C. The scores for period 1 had the lowest standard deviation.
Explanation:The statement that would lead us to believe that the teacher was most pleased with the exam scores in his period 1 class is C. The scores for period 1 had the lowest standard deviation.
The standard deviation measures the spread of data around the mean. A lower standard deviation indicates that the scores in period 1 are closer to the average score, suggesting more consistency and potentially higher performance.
The other options, such as the median or IQR, do not directly relate to the teacher's satisfaction with the scores, as they focus on different aspects of the distribution.
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6% as ratio in simplest form.
Answer:
3 : 50
Step-by-step explanation:
6% = 0.06
0.06 = 6/100
6/100 = 3/50
3/50 = 3 : 50
Martha divides $94 amongst her friends. Leon gets twice as much money as K. Jill gets five more dollars than Leon. Isaac gets $10 less dollars than k. How much money does each friend get?
Let me see if I can solve this on my own.
So $94 is the first amount.
It got divided so, 94÷2 = $47
So, It's either $47 or this.
47 + 47 (or times 2) = 94 again. But gets five more dollars than Leon. So 94+5= 99 then -10 = 89 but 89 ÷ 2 = 44.5 but since money can't really be half. It's eithier $44 or $45 but in my opinion is $45.
So, these are the most reasonable answers. $47 or $45. You can pick the answer that you thinks makes more sense. This took a long time so I hope this helps!
Answer:
Leon gets money=$39.6
Jill gets money=$44.6
Issac gets money=$9.8
Step-by-step explanation:
We are given that Martha divides $94 amongst her friends.
We have to find that how much money each friend get .
Given k be any number .
Leon gets money =2k
Jill gets money=2k+5
Issac get money=k-10
According to question
[tex]2k+2k+5+k-10=94[/tex]
[tex]5k-5=94[/tex]
[tex]5 k=94+5[/tex]
[tex]k=\frac{99}{5}[/tex]
[tex]k=19.8[/tex]
Leon gets money=[tex]2\times 19.8[/tex]
Leon gets money=$39.6
Jill gets money=$39.6+5=$44.6
Issac gets money=$19.8-10=$9.8
write one way or representing the equation of the given line in point-slope form. then write the equation in slope-intercept form. (0,-3) (7,4)
Answer:
y = x - 3Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (7, 4) and (0, -3) → b = -3.
Substitute to the formula of a slope:
[tex]m=\dfrac{-3-4}{0-7}=\dfrac{-7}{-7}=1[/tex]
Finally we have the equation:
[tex]y=1x-3[/tex]
50 POINTS! PLEASE HELP MEEE!!! HURRY PLEASE IM RUNNING OUT OF TIME!!!!!!!!!!!!!!!!!
ALSO, THE MEASUREMENTS FOR THE LAST TRIANGLE IS 1.5m, 4m, 6m, 2.5m
Find the surface area of each figure to the nearest tenth.
The first one is: 785cm^3
Working out:
[tex]volume \: of \: cylinder = \pi {r}^{2}h[/tex]
[tex]3.14 \times {5}^{2} \times 10[/tex]
[tex] = 785[/tex]
[tex]answer = 785 {cm}^{3} [/tex]
Gavin drove 85 miles on 10 gallons of gas.How many miles can gavin drive on 25 gallons of gas?
Answer:
212.5 miles on 25 gallons.
Step-by-step explanation:
Set up a proportion
85 miles on 10 gallons
x miles on 25 gallons.
85/10 = x / 25 Multiply both sides by 25
85*25 / 10 = x Simplify the left
2125 / 10 = x
x = 212.5 miles in 25 gallons.
The area of this figure is ...............
Answer:
19 3/4 in.
Step-by-step explanation:
Basiclly, you just need to add all of them up then divide that answer by how many numbers there are.
Answer: 946 in²
Step-by-step explanation:
Separate the image into 2 sections (left rectangle and right rectangle).
Area of a rectangle = Length (L) × width (w)
Left rectangle: A = 28 × 7
= 196
Right rectangle: A = 30 × 25
= 750
Area of shape = Area of Left + Area of Right
= 196 + 750
= 946
Select all of the labeled points that could be included while keeping the graph a function.
Answer:
Points A and F can be included while keeping the graph a function
Step-by-step explanation:
Graph of a function cannot have two different y-values for a given x-value. This means that at any given point on x-axis only one y value must be available.
So from the given points only those points can be selected, where the function is not already having any y-value.
Point A can be included because at x = - 9, no other y value is defined. So this will keep the given graph as a function.
Point B cannot be added, at at x=-6, the function already has a value which is -4. Adding point B, will result in two values at x = -6 which will be against the definition of function. So point B cannot be added.
Similarly, points C, D and E cannot be added either due to the same reason.
Point F can be added as the graph does not has any value at x = 7. So it will have a unique value here.
Answer:
points A and F
Step-by-step explanation:
Could some one help?
2. First blank is 60. Second blank is 38. Third blank is 50. Fourth blank is 18.
Hope this helps.
Answer:
A. 40/32
B. 60/50
C. 32/40
D. 32/50
E. 40/60
----------------------------------------
60,38,50,18
Step-by-step explanation:
use the information they give you in the equation
we know thee are 40 tulips, 32 roses, 60 daises, and 50 petunias
A. 40 tulips/32 roses
B. 60 daises/ 50 petunias
C. 32 roses/ 40 tulips
D. 32 roses/ 50 petunias
E. 40 tulips/ 60 daises
_________________________________________________
For the second problem :
We know the total student body so to find a percent of them you just divide the number of students by the total
95 sixth graders
------------------------ = 0.38 which is 38 percent
250 students
45 eighth graders
------------------------------ = 0.18 or 18%
250 students
Now to find the number of students first convert the percent to a decimal then multiply that by the total
24 % = 0.24 times 250
and that equals 60 students
and then 20 percent = 0.2 times 250
and that equals 50 students
What are the first three terms of the sequence defined by the recursive function , and ?
Answer:
The first three terms of the sequence are 6 , 10 , 8 ⇒ 2nd answer
Step-by-step explanation:
* Lets study the rule at first:
- [tex]a_{n}=a_{n-1}-(a_{n-2}-4)[/tex]
∴ [tex]a_{n}=a_{n-1}-a_{n-2}+4[/tex]
* That means to find a term add the difference between
the two consecutive term before it to 4.
* lets start with [tex]a_{6}=a_{5}-a_{4}+4[/tex]
∵ [tex]a_{5}=-2,a_{6}=0[/tex]
∴ [tex]0=-2 -a_{4}+4[/tex]
∴ [tex]0=2-a_{4}[/tex]
∴ [tex]a_{4}=2[/tex]
* Use [tex]a_{5}[/tex] to find [tex]a_{3}[/tex]
∵ [tex]a_{5}=a_{4}-a_{3}+4[/tex]
∴ [tex]-2=2-a_{3}+4[/tex]
∴ [tex]-2=6-a_{3}[/tex]
∴ [tex]a_{3}=6+2=8[/tex]
* Similar use [tex]a_{4}[/tex] to find [tex]a_{2}[/tex]
∵ [tex]a_{4}=a_{3}-a_{2}+4[/tex]
∴ [tex]2=8-a_{2}+4[/tex]
∴ [tex]2=12-a_{2}[/tex]
∴ [tex]a_{2}=10[/tex]
* Finally use [tex]a_{3}[/tex] to find [tex]a_{1}[/tex]
∵ [tex]a_{3}=a_{2}-a_{1}+4[/tex]
∴ [tex]8=10-a_{1} +4[/tex]
∴ [tex]8=14-a_{1}[/tex]
∴ [tex]a_{1}=14-8=6[/tex]
∴ The first three terms of the sequence are 6 , 10 , 8 ⇒ 2nd answer
if a football team has a 90% chance of making a field goal for three points and 35% chance of making a touchdown for seven point find the expected value of a touchdown
Answer:
[tex]V(X) = 2.45\ pts[/tex]
Step-by-step explanation:
We look for the expected value for a touchdown.
If X represents the number of points scored per touchdown scored, then X is a discrete random variable, and by definition, the expected value V (X) for a discrete random variable is defined as:
[tex]V(X) = \sum{XP(X)}[/tex]
Where P(X) is the probability that X will occur.
In the sample space of the random variable X there are two possible values.
[tex]X = 7[/tex] points (1 touchdown) with [tex]P(7) = 0.35[/tex]
[tex]X = 0[/tex] points (0 touchdown) with [tex]P(0) = 1-0.35 = 0.65[/tex]
Then the expected value V(X) is:
[tex]V(X) = 7P(7) + 0P(0)[/tex]
[tex]V(X) = 7(0.35) + 0(0.65)[/tex]
[tex]V(X) = 2.45\ pts[/tex]
what is a comparison as a rate in ratio form 70 students per 2 teachers
Answer:
35:1
Step-by-step explanation:
divide each by two
Rates compare quantities with different units. 70 students per 2 teachers can be written as 70:2 or 70/2. Unit rate compares two measurements, one being 1, like 55 miles per hour (55 miles/1 hour).
A rate compares two quantities with different units. It is a ratio where one quantity is compared to time, for example, km/h, which compares distance (in kilometers) to time (in hours).
Comparison as a rate in ratio form:
70 students per 2 teachers can be written as the ratio 70:2 or in fraction form as 70/2.Unit rate: A unit rate is a comparison of two measurements, with one measurement having a value of 1, such as 55 miles per hour (55 miles/1 hour).
An observatory is shaped like a cylinder standing on one of its bases with a dome on top.The diameter of the floor of the observatory is 64 feet.Witch measurement is closest to the circumference of the base of the observatory in feet ?
Answer:
[tex]200.96\ ft[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
in this problem
[tex]D=64\ ft[/tex]
substitute
[tex]C=\pi (64)=64\pi\ ft[/tex] -----> exact value of the circumference
Find the approximate value of the circumference
assume
[tex]\pi=3.14[/tex]
[tex]64\pi\ ft=64(3.14)=200.96\ ft[/tex]
a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed to fill the tank completly.
Answer:
[tex]20,400\ cm^{3}[/tex]
Step-by-step explanation:
step 1
Find the volume of the tank
[tex]V=(60)(15)(34)=30,600\ cm^{3}[/tex]
step 2
we know that
If the tank is 1/3 full of water
then
the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity
so
[tex](2/3)30,600=20,400\ cm^{3}[/tex]
find the equation of the line through (5,7) parallel to the line 7x + 5y = 12
Answer:
[tex]y -7 = -\frac{7}{5}(x-5)[/tex]
or
[tex]y = -\frac{7}{5}x +14[/tex]
Step-by-step explanation:
Parallel lines are lines which have the same slope. To write the equation of the line parallel, find the slope of the equation 7x + 5y = 12 through conversion into slope intercept form.
7x + 5y = 12 becomes y = -7/5x + 12/5. The slope is -7/5.
Substitute\ m =-7/5 and the point (5,7) into the slope intercept form.
[tex]y-y_1=m(x-x_1)\\y -7= -\frac{7}{5}(x - 5)[/tex]
Convert the equation to slope intercept form by applying the distributive property.
[tex]y -7 = -\frac{7}{5}(x-5)\\y -7 = -\frac{7}{5}x +7\\y = -\frac{7}{5}x +7+7\\y = -\frac{7}{5}x +14[/tex]
PLEASE ANWER! WILL GIVE BRAINLIEST!!!!
VERY MUCH NEEDED!!!!!
Answer: What is the question
Step-by-step explanation:
25 Points Please Answer I Suck At This Stuff
Answer:
< J must measure the same as <Y
Step-by-step explanation:
Triangle XYZ is the same as Triangle KJL
<X is the same as <K
<Y is the same as <J
<Z is the same as <L
Answer:
C. Angle J
Step-by-step explanation:
Don't worry, a lot of people have trouble with this when they first start, i know i did. Anyways, it is fairly simple once you get it. What you can do to get it the easy way is just look at the screen sideways and see if the shapes are the same. If they are (in the way you are looking) find the corner of the angle of the original triangle and look at the moved triangle to see where it matches up. I'm sorry that I don't have a very good way to explain this answer, you are just going to have to pay really close attention. This whole head-spinning thing is tricky, it came to me easy, but i know its hard for some other people. Either way, just look at which way you are rotating the shape, and follow the angle in that direction. Try and follow it in a circle like a clock because when rotating about the origin, if you rotate 360 degrees, you will get back to the original shape.
Hope this helped ^-^
Which number represents the mode of the data?
-1
-2
-3
-4
Answer:
2
Step-by-step explanation:
The mode is 2, because it appears most.
Answer: 2 because there are more X's than the rest
Step-by-step explanation:
What is the quotient?
Answer: FIRST OPTION
Step-by-step explanation:
According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.
Therefore, keeping the property above on mind, you have that the quotient is the shown below:
[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]
Answer:
The answer is -343
Step-by-step explanation:
We just need to divide both numbers and find the result
(-7)^2 / (-7)^-1
(-7)^(2-(-1)) =
(-7)^(2+1) =
(-7)^(3) =
(-7)*(-7)*(-7) = (49)*(-7) = -343
Paul and Jason both have subscriptions to online game accounts. For each game they play, they lose points from their online accounts depending on which game they play. The points in their accounts over time are shown in the graphs below.
Answer:
B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.
Step-by-step explanation:
We are given two graphs f(x) and g(x).
G(x) represents Paul's Account and f(x) represents Jason's account.
By look at the graphs, Jason starts with 35 points and runs out of points in 5 games.
Paul starts with 50 points and runs out of points in 10 games.
Difference in points = 50 - 35 = 15 points
Jason starts with 15 points less than Paul's initial point.
By looking at the options B is the correct one.
B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.
Answer:
B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.
Step-by-step explanation:
We are given two graphs f(x) and g(x).
G(x) represents Paul's Account and f(x) represents Jason's account.
By look at the graphs, Jason starts with 35 points and runs out of points in 5 games.
Paul starts with 50 points and runs out of points in 10 games.
Difference in points = 50 - 35 = 15 points
Jason starts with 15 points less than Paul's initial point.
By looking at the options B is the correct one.
B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.
which pair of the following straight lines are parallel and how?
a. 2x + y + 1 = 0
b. y = 3x - 1
c. 2x - y = 3
d. y = 4x + 3
e. y = x/2 - 1
f. 6x - 2y = 0
g. 3y = x + 4
h. 2y = 5 - x
Answer:
f and b
Step-by-step explanation:
if you put them in y-intercept form, both slopes are 3
In b. it's easy to see that 3x has a slope of 3.
In f. it's not so obvious. Just solve for y or use the shortcut m = -a/b where a is the coefficient of x and b is the coeff of y.
hence -(6/-2)=3
Answer:
Step-by-step explanation:
assuming you know how to put the equations into y = m x + b already. All equations have to be put in that format to identify the slope. Parallel lines have the same slope.
a. y = -2x - 1; slope -2
b. y = 3x - 1; slope 3
c. y = 2x - 3; slope 2
d. y = 4x + 3; slope 4
e. y = x/2 - 1; slope 1/2
f. y = 3x; slope 3
g. y = x/3 + 4/3; slope 1/3
h. y = -x/2 + 5; slope -1/2
There are only 2 that are alike. b and f both have a slope of 3. all the other slopes are different.
A washing machine requires 27.5 minutes to wash one load of laundry. A clothes dryer requires 60% more time than the washing machine to dry one load of laundry. What is the total amount of time it takes to wash and dry one load of laundry? PLEASE HELP!!!!
If it takes a washer 27.5 minutes for a load and a dryer takes 60% of that time for a load, convert 60% to a decimal (0.6) and multiply by 27.5 → 27.5 * 0.6 = 16.5 which means it takes the dryer 16.5 minutes for a load. To find the total time it takes for a washer and a dryer to complete 1 load, simply add the two times. 27.5 + 16.5 = 44 minutes.